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Module Specifications

Archived Version 2016 - 2017

Module Title
Module Code

Online Module Resources

NFQ level 8 Credit Rating 5
Pre-requisite None
Co-requisite None
Compatibles None
Incompatibles None

To develop a solid and instinctive understanding of the fundamental mathematical generalisations, associated methods and practical mathematical skills central to engineering problem-solving in the fields of electronic and mechanical engineering. To continue the students' development of their skills of analysing problems in a rational and methodical manner and their use of reasoning by analogy. A significant element of the T&L strategy is to motivate the relevance of the mathematical ideas by appropriate applications. The emphasis throughout is on student insight and understanding, not rigorous proof, and on communication of mathematical ideas in terms of diagrams, words, formulas and numbers, not formulas alone. However, some mathematical proofs are used as tools for developing logical and mathematical reasoning.

Learning Outcomes

1. apply integration techniques to calculation of function transforms.
2. compute Fourier Series for various periodic functions.
3. use Fourier methods to explore real-world time signals.
4. Use Fourier Transform to analyse input-output relationships.
5. solve differential and difference equations using transform methods

Workload Full-time hours per semester
Type Hours Description
Lecture36No Description
Tutorial12No Description
Independent Study77A student who wishes to be successful in this module needs to do a minimum of 2 additional hour of self-directed study for each weekly contact hour. Homeworks may take additional time.
Total Workload: 125

All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml

Indicative Content and Learning Activities

Transform Theory and Applications
1. Introduction to the theory and properties of the Fourier series. 2. Fourier Transform. 3. Laplace transform. 4. Z-transform. 5. Transform theory in the solution of ordinary differential and difference equations.

Assessment Breakdown
Continuous Assessment% Examination Weight%
Course Work Breakdown
TypeDescription% of totalAssessment Date
Reassessment Requirement
Resit arrangements are explained by the following categories;
1 = A resit is available for all components of the module
2 = No resit is available for 100% continuous assessment module
3 = No resit is available for the continuous assessment component
Indicative Reading List

  • Croft, Davison and Hargreaves: 2000, Engineering Mathematics: A Foundation for Electronic, Electrical, Communications and Systems Engineers (Required text for all students), 3rd Edition, Prentice Hall (Pearson), 978-0130268587
  • K.A. Stroud: 0, Further Engineering Mathematics, Macmillan,
  • Bolton, W: 1997, Essential Mathematics for Engineering,, Butterworth-Heinemann,
  • Kreyzig, E.: 0, Advanced Engineering Mathematics, Wiley,
  • Thomas, G.B: 0, Calculus, Addison-Wesley,
Other Resources

Programme or List of Programmes